Please help me with my Assignment! Find the general solution of (d4y / dx4) + 4(d3y / dx3) + 8(d2y / dx2) + 8(dy/dx) + 4y = 0 Solution The characteristic equation of the DE is: r4 + 4r3 + 8r2 + 8r + 4 = 0 (r2 + 2r + 2)2 = 0 So the roots are: -1-i , -1-i , -1+i , -1+i Therefore the general solution is: y = Ae-xcos(x) + Be-xsin(x) + C.xe-xcos(x) + D.xe-xsin(x) Where A, B, C, and D are constants..